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Simplifying (x3 + y3)(x3 + -1y3) = 0 Multiply (x3 + y3) * (x3 + -1y3) (x3(x3 + -1y3) + y3(x3 + -1y3)) = 0 ((x3 * x3 + -1y3 * x3) + y3(x3 + -1y3)) = 0 Reorder the terms: ((-1x3y3 + x6) + y3(x3 + -1y3)) = 0 ((-1x3y3 + x6) + y3(x3 + -1y3)) = 0 (-1x3y3 + x6 + (x3 * y3 + -1y3 * y3)) = 0 (-1x3y3 + x6 + (x3y3 + -1y6)) = 0 Reorder the terms: (-1x3y3 + x3y3 + x6 + -1y6) = 0 Combine like terms: -1x3y3 + x3y3 = 0 (0 + x6 + -1y6) = 0 (x6 + -1y6) = 0 Solving x6 + -1y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y6' to each side of the equation. x6 + -1y6 + y6 = 0 + y6 Combine like terms: -1y6 + y6 = 0 x6 + 0 = 0 + y6 x6 = 0 + y6 Remove the zero: x6 = y6 Simplifying x6 = y6 Combine like terms: y6 + -1y6 = 0 x6 + -1y6 = 0 Factor a difference between two squares. (x3 + y3)(x3 + -1y3) = 0Subproblem 1
Set the factor '(x3 + y3)' equal to zero and attempt to solve: Simplifying x3 + y3 = 0 Solving x3 + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. x3 + y3 + -1y3 = 0 + -1y3 Combine like terms: y3 + -1y3 = 0 x3 + 0 = 0 + -1y3 x3 = 0 + -1y3 Remove the zero: x3 = -1y3 Simplifying x3 = -1y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x3 + -1y3)' equal to zero and attempt to solve: Simplifying x3 + -1y3 = 0 Solving x3 + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. x3 + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 x3 + 0 = 0 + y3 x3 = 0 + y3 Remove the zero: x3 = y3 Simplifying x3 = y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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